Reconstruction and assessment of the least-squares and slope discrepancy components of the phase.
Reconstruction and assessment of the least-squares and slope discrepancy components of the phase.
复制标题
重建和评估阶段的最小二乘和斜率差异分量。
DOI：
10.1364/josaa.17.001828
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Glenn A. Tyler
中科院分区：
文献类型：
--
作者：
Glenn A. Tyler
在20世纪80年代中期开发的斜率差异的概念，以评估在波前传感器系统中的测量噪声被证明有额外的贡献，是由于拟合误差和分支点。这种理解是通过开发一种新的公式来促进的，该公式采用傅立叶技术来分解测量的梯度场（即，波前传感器测量）分成两个分量，一个分量表示为标量势的梯度，另一个分量表示为矢量势的旋度。这里提出的理论的一个关键特征是相位的两个分量（一个对应于梯度场的每个分量）可以容易地从测量的梯度重建。此外，标量势和矢量势都很容易用测量的梯度场表示。这项工作的结论与波动光学模拟的例子，说明了容易与这两个组件的相位可以得到。结果表明，当Rytov数大于0.2时，分支点效应不显著。此外，对相位的分支点贡献不仅从梯度数据重建，而且用于说明当该贡献包括在由自适应光学系统应用的校正中时产生的显著性能改进。
The concept of slope discrepancy developed in the mid-1980's to assess measurement noise in a wave-front sensor system is shown to have additional contributions that are due to fitting error and branch points. This understanding is facilitated by the development of a new formulation that employs Fourier techniques to decompose the measured gradient field (i.e., wave-front sensor measurements) into two components, one that is expressed as the gradient of a scalar potential and the other that is expressed as the curl of a vector potential. A key feature of the theory presented here is the fact that both components of the phase (one corresponding to each component of the gradient field) are easily reconstructable from the measured gradients. In addition, the scalar and vector potentials are both easily expressible in terms of the measured gradient field. The work concludes with a wave optics simulation example that illustrates the ease with which both components of the phase can be obtained. The results obtained illustrate that branch point effects are not significant until the Rytov number is greater than 0.2. In addition, the branch point contribution to the phase not only is reconstructed from the gradient data but is used to illustrate the significant performance improvement that results when this contribution is included in the correction applied by an adaptive optics system.